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A company wants to invest some surplus short-term funds and plans to buy a 180-day bank bill with a face value of $100 000. What is the yield on the bill if its price is currently $94 234?

Question

A company wants to invest some surplus short-term funds and plans to buy a 180-day bank bill with a face value of 100000.Whatistheyieldonthebillifitspriceiscurrently100 000. What is the yield on the bill if its price is currently 94 234?

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Solution

To calculate the yield on the bill, we can use the formula for the yield of a discount instrument like a bank bill, which is:

Yield = (F - P) / P * (365 / t)

where: F = face value of the bill P = purchase price of the bill t = time to maturity in days

In this case, F = 100,000,P=100,000, P = 94,234, and t = 180 days. Substituting these values into the formula, we get:

Yield = (100000 - 94234) / 94234 * (365 / 180)

Yield = 0.0611 or 6.11%

So, the yield on the bill is 6.11%.

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